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Finding the Third Proportional to 40.88 and 90.56

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Solution

The third proportional to 40.88 and 90.56 is: 200.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.88 : 90.56 = 90.56 : x
  2. Step 2: Convert to fraction form
    40.88/90.56 = 90.56/x
  3. Step 3: Cross multiply
    40.88x = 90.56 × 90.56
  4. Step 4: Simplify right side
    40.88x = 8,201.57
  5. Step 5: Solve for x
    x = 8,201.57/40.88
  6. Step 6: Final answer
    x = 200.65

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.